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Finding the Fourth Proportional to 553.15, 828.64 and 260.27

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Solution

The fourth proportional to 553.15, 828.64 and 260.27 is: 389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.15 : 828.64 = 260.27 : x
  2. Step 2: Convert to fraction form
    553.15/828.64 = 260.27/x
  3. Step 3: Cross multiply
    553.15x = 828.64 × 260.27
  4. Step 4: Simplify right side
    553.15x = 215,670.13
  5. Step 5: Solve for x
    x = 215,670.13/553.15
  6. Step 6: Final answer
    x = 389.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.